415085121441 has 81 divisors (see below), whose sum is σ = 645053098131. Its totient is φ = 257172366528.

The previous prime is 415085121431. The next prime is 415085121457. The reversal of 415085121441 is 144121580514.

The square root of 415085121441 is 644271.

It is a perfect power (a square), and thus also a powerful number.

415085121441 is a `hidden beast` number, since 4 + 1 + 508 + 5 + 1 + 2 + 144 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79705147041 + 335379974400 = 282321^2 + 579120^2 .

It is not a de Polignac number, because 415085121441 - 2³³ = 406495186849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 415085121396 and 415085121405.

It is not an unprimeable number, because it can be changed into a prime (415085121401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3268386720 + ... + 3268386846.

Almost surely, 2^415085121441 is an apocalyptic number.

415085121441 is the 644271-st square number.

415085121441 is the 322136-th centered octagonal number.

It is an amenable number.

415085121441 is a deficient number, since it is larger than the sum of its proper divisors (229967976690).

415085121441 is an equidigital number, since it uses as much as digits as its factorization.

415085121441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Multiplying 415085121441 by its sum of digits (36), we get a square (14943064371876 = 3865626²).

The spelling of 415085121441 in words is "four hundred fifteen billion, eighty-five million, one hundred twenty-one thousand, four hundred forty-one".